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Finding the Fourth Proportional to 30,783.56, 46,175.34 and 17,626.82

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Solution

The fourth proportional to 30,783.56, 46,175.34 and 17,626.82 is: 26,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.56 : 46,175.34 = 17,626.82 : x
  2. Step 2: Convert to fraction form
    30,783.56/46,175.34 = 17,626.82/x
  3. Step 3: Cross multiply
    30,783.56x = 46,175.34 × 17,626.82
  4. Step 4: Simplify right side
    30,783.56x = 813,924,406.62
  5. Step 5: Solve for x
    x = 813,924,406.62/30,783.56
  6. Step 6: Final answer
    x = 26,440.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.